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A Quality Analyst Wants to Construct a Control Chart for Determining

question 10

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A quality analyst wants to construct a control chart for determining whether four machines, all producing the same product, are in control with regard to a particular quality attribute. Accordingly, she inspected 1,000 units of output from each machine in random samples, with the following results:  Machine  Total Defectives #123#215#329#413\begin{array} { c c } \text { Machine } & \text { Total Defectives } \\\hline \# 1 & 23 \\\# 2 & 15 \\\# 3 & 29 \\\# 4 & 13\end{array}
For upper and lower control limits of .026 and .014, which machine(s) , if any, appear(s) to be out-of-control for process proportion of defectives?


Definitions:

Nociceptors

Sensory receptors that detect harmful stimuli, sending pain signals to the brain in response to potentially damaging or dangerous conditions.

Pitch

The perceived frequency of a sound, determining how high or low it sounds.

Auditory Canal

The tube that runs from the outer ear to the middle ear, transmitting sound waves to the eardrum.

Cochlea

A spiral-shaped cavity located within the inner ear, instrumental in converting sound vibrations into nerve impulses for auditory perception.

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